In our previous work, it is theoretically proven that Fourier Fundamental Mode Coefficient (FFMC) is a potential fission source convergence indicator for the application of the Monte Carlo k-eigenvalue calculation. The advantage of using this novel approach is that its computation does not require spatial discretization. Thus, it eliminates the burden of sorting fission sites into their respective bin and also avoids the subjectivity of choosing the number of spatial bins as imposed by the calculation of the Shannon entropy indicator. Unfortunately, the theoretical formulation of FFMC as a source convergence indicator is purely based on mathematical deduction. The mathematical theorems used in the formulation of FFMC is still yet to be verified numerically via Monte Carlo k-eigenvalue calculation. In this paper, we provide the numerical evidence that justifies the formulation of FFMC. The outcome achieved from this work confirms that the theoretical formulation of FFMC is valid.

在我们之前的工作中，理论上证明了傅立叶基本模系数（FFMC）是潜在的裂变源收敛指标，适用于蒙特卡洛k特征值计算。使用这种新颖方法的优点是其计算不需要空间离散化。因此，它消除了将裂变位点分类到它们各自的箱中的负担，并且还避免了由于香农熵指标的计算而施加的选择空间箱的数目的主观性。不幸的是，FFMC作为源收敛指标的理论表述纯粹是基于数学推论。FFMC公式中使用的数学定理仍有待通过蒙特卡洛k进行数值验证。-特征值计算。在本文中，我们提供了证明FFMC公式合理的数值证据。这项工作取得的成果证实，FFMC的理论表述是正确的。